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Finding the Fourth Proportional to 15,807.68, 23,711.44 and 6,447.66

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Solution

The fourth proportional to 15,807.68, 23,711.44 and 6,447.66 is: 9,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.68 : 23,711.44 = 6,447.66 : x
  2. Step 2: Convert to fraction form
    15,807.68/23,711.44 = 6,447.66/x
  3. Step 3: Cross multiply
    15,807.68x = 23,711.44 × 6,447.66
  4. Step 4: Simplify right side
    15,807.68x = 152,883,303.23
  5. Step 5: Solve for x
    x = 152,883,303.23/15,807.68
  6. Step 6: Final answer
    x = 9,671.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.